40643957554176 has 352 divisors, whose sum is σ = 114440256691200. Its totient is φ = 12798866882560.

The previous prime is 40643957554129. The next prime is 40643957554177. The reversal of 40643957554176 is 67145575934604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40643957554177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6483320770 + ... + 6483327038.

It is an arithmetic number, because the mean of its divisors is an integer number (325114365600).

Almost surely, 2^{40643957554176} is an apocalyptic number.

40643957554176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40643957554176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57220128345600).

40643957554176 is an abundant number, since it is smaller than the sum of its proper divisors (73796299137024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40643957554176 is a wasteful number, since it uses less digits than its factorization.

40643957554176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7435 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 66.

The spelling of 40643957554176 in words is "forty trillion, six hundred forty-three billion, nine hundred fifty-seven million, five hundred fifty-four thousand, one hundred seventy-six".